In this paper we present a hybridizable discontinuous Galerkin method for the time-dependent Navier-Stokes equations coupled to the quasi-static poroelasticity equations via interface conditions. We determine a bound on the data that guarantees stability and well-posedness of the fully discrete problem and prove a priori error estimates. A numerical example confirms our analysis.

翻译：本文提出了一种用于求解通过界面条件耦合的时变Navier-Stokes方程与准静态孔隙弹性方程的混合化不连续伽辽金方法。我们确定了保证全离散问题稳定性和适定性的数据界，并证明了先验误差估计。数值算例验证了我们的理论分析。